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634680 = 233254143
BaseRepresentation
bin10011010111100111000
31012020121200
42122330320
5130302210
621334200
75252244
oct2327470
91166550
10634680
113a3932
12267360
13192b67
14127424
15c80c0
hex9af38

634680 has 96 divisors (see below), whose sum is σ = 2162160. Its totient is φ = 161280.

The previous prime is 634679. The next prime is 634681. The reversal of 634680 is 86436.

It is an interprime number because it is at equal distance from previous prime (634679) and next prime (634681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14739 + ... + 14781.

2634680 is an apocalyptic number.

634680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081080).

634680 is an abundant number, since it is smaller than the sum of its proper divisors (1527480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

634680 is a wasteful number, since it uses less digits than its factorization.

634680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 634680 is about 796.6680613656. The cubic root of 634680 is about 85.9379397223.

The spelling of 634680 in words is "six hundred thirty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 43 45 60 72 82 86 90 120 123 129 164 172 180 205 215 246 258 328 344 360 369 387 410 430 492 516 615 645 738 774 820 860 984 1032 1230 1290 1476 1548 1640 1720 1763 1845 1935 2460 2580 2952 3096 3526 3690 3870 4920 5160 5289 7052 7380 7740 8815 10578 14104 14760 15480 15867 17630 21156 26445 31734 35260 42312 52890 63468 70520 79335 105780 126936 158670 211560 317340 634680